10 14 16 triangle

Acute scalene triangle.

Sides: a = 10   b = 14   c = 16

Area: T = 69.28220323028
Perimeter: p = 40
Semiperimeter: s = 20

Angle ∠ A = α = 38.21332107017° = 38°12'48″ = 0.66769463445 rad
Angle ∠ B = β = 60° = 1.04771975512 rad
Angle ∠ C = γ = 81.78767892983° = 81°47'12″ = 1.42774487579 rad

Height: ha = 13.85664064606
Height: hb = 9.89774331861
Height: hc = 8.66602540378

Median: ma = 14.17774468788
Median: mb = 11.35878166916
Median: mc = 9.16551513899

Inradius: r = 3.46441016151
Circumradius: R = 8.08329037687

Vertex coordinates: A[16; 0] B[0; 0] C[5; 8.66602540378]
Centroid: CG[7; 2.88767513459]
Coordinates of the circumscribed circle: U[8; 1.15547005384]
Coordinates of the inscribed circle: I[6; 3.46441016151]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.7876789298° = 141°47'12″ = 0.66769463445 rad
∠ B' = β' = 120° = 1.04771975512 rad
∠ C' = γ' = 98.21332107017° = 98°12'48″ = 1.42774487579 rad

Calculate another triangle




How did we calculate this triangle?

Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS.


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